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pashok25 [27]
4 years ago
7

A continuous random variable is uniformly distributed between 150 and 250.

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
8 0

Answer:

0.2,0.2,0.6

Step-by-step explanation:

Given that a continuous random variable is uniformly distributed between 150 and 250.

We know that a uniform distribution between (a,b) has pdf as

\frac{1}{b-a } \\=\frac{1}{100} ,150\leq x\leq 250

a) the probability a randomly selected value will be greater than 230

=\frac{250-230}{250-150} \\=0.20

b)  the probability a randomly selected value will be less than 170

=\frac{170-150}{250-150}\\=0.20

c)  the probability a randomly selected value will be between 170 and 230​

=\frac{230-170}{250-150}\\=0.60

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Answers:

\text{Perimeter} = 14\sqrt{5}\\\\\text{Area} = 50\\\\

=======================================================

Work Shown:

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